A functional central limit theorem for interacting particle systems on transitive graphs
Overview & Synopsis
A finite range interacting particle system on a transitive graph is considered. Assuming that the dynamics and the initial measure are invariant, the normalized empirical distribution process converges in distribution to a centered diffusion process. As an application, a central limit theorem for certain hitting times, interpreted as failure times of a coherent system in reliability, is derived.
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Document Information
| Document Title | A functional central limit theorem for interacting particle systems on transitive graphs |
|---|---|
| Author / Organization | Paul Doukhan, Gabriel Lang, Sana Louhichi, Bernard Ycart |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2008 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-219097 |
| Original Source Link | Visit Source Page on hal.science » |